Elsasser number

The Ellasser number ( El or Λ ) is a similarity criterion in magnetohydrodynamics , which determines the relationship between the magnetic force and the Coriolis force . It is defined as follows:

\operatorname {El} \,={\frac {\varsigma \,B^{2}}{\rho \,\Omega }}

{\ displaystyle \ operatorname {El} \, = {\ frac {\ varsigma \, B ^ {2}} {\ rho \, \ Omega}}}

{\ displaystyle \ operatorname {El} \, = {\ frac {\ varsigma \, B ^ {2}} {\ rho \, \ Omega}}}

Where

$B$ ${\ displaystyle B}$ $B$ - magnetic field induction ;
$\Omega$ ${\ displaystyle \ Omega}$ $\ Omega$ - the angular velocity of rotation of the planet;
$\rho$ ${\ displaystyle \ rho}$ $\ rho$ - density ;
$\varsigma$ ${\ displaystyle \ varsigma}$ $\ varsigma$ - electrical conductivity .

Literature

Julien Aubert Planetary magnetic fields. Observations, theory, models .
Willi Freeden , M. Zuhair Nashed , Thomas Sonar Handbook of Geomathematics
David Gubbins , Emilio Herrero-Bervera Encyclopedia of paleomagnetism and geomagnetism

Elsasser number

Literature

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